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Finding the Fourth Proportional to 1,309.44, 1,963.74 and 431.76

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Solution

The fourth proportional to 1,309.44, 1,963.74 and 431.76 is: 647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.44 : 1,963.74 = 431.76 : x
  2. Step 2: Convert to fraction form
    1,309.44/1,963.74 = 431.76/x
  3. Step 3: Cross multiply
    1,309.44x = 1,963.74 × 431.76
  4. Step 4: Simplify right side
    1,309.44x = 847,864.38
  5. Step 5: Solve for x
    x = 847,864.38/1,309.44
  6. Step 6: Final answer
    x = 647.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.